Datrys z^2-2510^-12+1610^-12=0

$${ z }^{ 2 } -25 { 10 }^{ -12 } +16 { 10 }^{ -12 } =0$$

Datrys ar gyfer z

$$z=\frac{3}{1000000}=0.000003$$

$$z=-\frac{3}{1000000}=-0.000003$$

Camau drwy Ganfod Isradd

Cyfrifo 10 i bŵer -12 a chael \frac{1}{1000000000000}.

$$z^{2}-25\times \frac{1}{1000000000000}+16\times 10^{-12}=0$$

Lluosi 25 a \frac{1}{1000000000000} i gael \frac{1}{40000000000}.

$$z^{2}-\frac{1}{40000000000}+16\times 10^{-12}=0$$

Cyfrifo 10 i bŵer -12 a chael \frac{1}{1000000000000}.

$$z^{2}-\frac{1}{40000000000}+16\times \frac{1}{1000000000000}=0$$

Lluosi 16 a \frac{1}{1000000000000} i gael \frac{1}{62500000000}.

$$z^{2}-\frac{1}{40000000000}+\frac{1}{62500000000}=0$$

Adio -\frac{1}{40000000000} a \frac{1}{62500000000} i gael -\frac{9}{1000000000000}.

$$z^{2}-\frac{9}{1000000000000}=0$$

Ychwanegu \frac{9}{1000000000000} at y ddwy ochr. Mae adio unrhyw beth at sero yn cyrraedd ei swm ei hun.

$$z^{2}=\frac{9}{1000000000000}$$

Cymryd isradd dwy ochr yr hafaliad.

$$z=\frac{3}{1000000} z=-\frac{3}{1000000}$$

Camau gan Ddefnyddio’r Fformiwla Cwadratig

Cyfrifo 10 i bŵer -12 a chael \frac{1}{1000000000000}.

$$z^{2}-25\times \frac{1}{1000000000000}+16\times 10^{-12}=0$$

Lluosi 25 a \frac{1}{1000000000000} i gael \frac{1}{40000000000}.

$$z^{2}-\frac{1}{40000000000}+16\times 10^{-12}=0$$

Cyfrifo 10 i bŵer -12 a chael \frac{1}{1000000000000}.

$$z^{2}-\frac{1}{40000000000}+16\times \frac{1}{1000000000000}=0$$

Lluosi 16 a \frac{1}{1000000000000} i gael \frac{1}{62500000000}.

$$z^{2}-\frac{1}{40000000000}+\frac{1}{62500000000}=0$$

Adio -\frac{1}{40000000000} a \frac{1}{62500000000} i gael -\frac{9}{1000000000000}.

$$z^{2}-\frac{9}{1000000000000}=0$$

Mae’r hafaliad hwn yn y ffurf safonol: ax^{2}+bx+c=0. Amnewidiwch 1 am a, 0 am b, a -\frac{9}{1000000000000} am c yn y fformiwla gwadratig, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$z=\frac{0±\sqrt{0^{2}-4\left(-\frac{9}{1000000000000}\right)}}{2}$$

Sgwâr 0.

$$z=\frac{0±\sqrt{-4\left(-\frac{9}{1000000000000}\right)}}{2}$$

Lluoswch -4 â -\frac{9}{1000000000000}.

$$z=\frac{0±\sqrt{\frac{9}{250000000000}}}{2}$$

Cymryd isradd \frac{9}{250000000000}.

$$z=\frac{0±\frac{3}{500000}}{2}$$

Datryswch yr hafaliad z=\frac{0±\frac{3}{500000}}{2} pan fydd ± yn plws.

$$z=\frac{3}{1000000}$$

Datryswch yr hafaliad z=\frac{0±\frac{3}{500000}}{2} pan fydd ± yn minws.

$$z=-\frac{3}{1000000}$$

Mae’r hafaliad wedi’i ddatrys nawr.

$$z=\frac{3}{1000000} z=-\frac{3}{1000000}$$